Application of a pressure gradient method to an FEM flow analysis
Abstract
A pressure gradient method employing pressure gradients as dependent variables is applied to a finite-element-method flow analysis for a two-dimensional incompressible Newtonian fluid flow. In a numerical analysis, a triangular element is adopted, a velocity vector and a pressure gradient vector being assigned as dependent variables at the nodal points. Velocity and pressure gradient are interpolated linearly in space, and a discretizing formulation can be made using a suitably selected weighting function. An example of application is shown for an unsteady-state development of a recirculating circular cavity flow, the numerical results to which are in good agreement with those obtained analytically or by other numerical means.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- June 1986
- DOI:
- 10.1002/fld.1650060604
- Bibcode:
- 1986IJNMF...6..351M
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Fluid Pressure;
- Incompressible Flow;
- Pressure Gradients;
- Unsteady Flow;
- Boundary Value Problems;
- Cavities;
- Cavity Flow;
- Computational Grids;
- Error Analysis;
- Recirculative Fluid Flow;
- Reynolds Number;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer